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Simplifying 5c(8c + 3) = 0 Reorder the terms: 5c(3 + 8c) = 0 (3 * 5c + 8c * 5c) = 0 (15c + 40c2) = 0 Solving 15c + 40c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(3 + 8c) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(3 + 8c)' equal to zero and attempt to solve: Simplifying 3 + 8c = 0 Solving 3 + 8c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8c = 0 + -3 8c = 0 + -3 Combine like terms: 0 + -3 = -3 8c = -3 Divide each side by '8'. c = -0.375 Simplifying c = -0.375Solution
c = {0, -0.375}
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